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Seven athletes P, Q, R, S, T, U and V are sitting in a row facing North. Only two people sit to the right of Q. Only one person sits between Q and S. P sits to the immediate left of U. R sits at one of the extreme ends. If T sits to the left of V, who sits in the middle of the row?
P
U
V
S
S
Fix the constrained entities first (Q and the end-seat R) then map the P-U block to find the remaining positions.
Fix the constrained entities first (Q and the end-seat R) then map the P-U block to find the remaining positions.
Fix Q and R
There are 7 seats. Only two people sit to the right of Q, so Q is at position 5. R sits at one of the extreme ends (1 or 7).
Place S
One person sits between Q and S. Q is at 5, so S can be at 3 or 7. If S is at 7, then R must be at 1. If S is at 3, R can be 1 or 7.
Incorporate P, U, T, and V
P sits immediate left of U, forming a (PU) block. T sits to the left of V. Placing these into the remaining slots 1, 2, 4, 6 and considering constraints, we find the sequence: R(1), P(2), U(3), S(4), Q(5), T(6), V(7). Testing the middle: Position 4 is S.
A: P sits at position 2, not the middle. B: U sits at position 3, not the middle. C: V sits at the extreme right end, not the middle.
D is correct because based on the constraints, the arrangement is R, P, U, S, Q, T, V, where S occupies the 4th position, which is the exact middle of the 7-seat row.
In row-based puzzles, always place the person with the most constraints (the anchor) first before filling gaps with blocks like (PU).
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